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Finding the Third Proportional to 14,053.50 and 22,361.06

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Solution

The third proportional to 14,053.50 and 22,361.06 is: 35,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.50 : 22,361.06 = 22,361.06 : x
  2. Step 2: Convert to fraction form
    14,053.50/22,361.06 = 22,361.06/x
  3. Step 3: Cross multiply
    14,053.50x = 22,361.06 × 22,361.06
  4. Step 4: Simplify right side
    14,053.50x = 500,017,116.13
  5. Step 5: Solve for x
    x = 500,017,116.13/14,053.50
  6. Step 6: Final answer
    x = 35,579.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.